\(\aleph_1\)-directed inverse systems of continuous images of arcs (Q1585722)
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scientific article; zbMATH DE number 1529554
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\aleph_1\)-directed inverse systems of continuous images of arcs |
scientific article; zbMATH DE number 1529554 |
Statements
\(\aleph_1\)-directed inverse systems of continuous images of arcs (English)
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14 November 2000
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Summary: The main purpose of this paper is to prove that if \({\mathbf X}= \{X_a,p_{ab},A\}\) is a usual \(\aleph_1\)-directed inverse system of continuous images of arcs with monotone bonding mappings, then \(X= \lim{\mathbf X}\) is a continuous image of an arc (Theorem 2.4). Some applications of this statement are also given.
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approximate inverse systems
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continuous images of arcs
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